In the figure, a ball of mass m = 61 g is shot with speed v; = 26 m/s (in the negative direction of an x axis) into the barre of a spring gun of mass M = 247 g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. What fraction of the initial kinetic energy of the ball is stored in the spring?

In the figure, a ball of mass m = 61 g is shot with speed v; = 26 m/s (in the negative direction of an x axis) into the barre of a spring gun of mass M = 247 g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. What fraction of the initial kinetic energy of the ball is stored in the spring?

Name: *Chapter 9, Problem 57In the figure, a ball of mass m = 61 g is shot
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: *Chapter 9, Problem 57In the figure, a ball of mass m = 61 g is shot with speed v; = 26 m/s (in the negative direction of an x axis) into the barrelof a spring gun of mass M = 247 g initially at rest on a frictionless surface. The ball sticks in the

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 247 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.40 kg), traveling at speed v₁ = 3.30 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? 200000 Number i Units
A pendulum consists of a 1.7-kg block hanging on a 2.5-m length string. A 0.02-kg bullet moving with a horizontal velocity of 686 m/s strikes, passes through, and emerges from the block (initially at rest) with a horizontal velocity of 346 m/s. To what maximum height above its initial position will the block swing? Write your answer in meters.
A massless spring (with force constant k = 189 N/m) connects a wall and a block of wood. The system is initially at rest, with the spring unstretched. The block has mass M = 54.5 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 8.9 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.91 m. A: In meters per second, what is the speed of the bullet v before it enters the block?
A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal, and the ball is released from rest (see the drawing). It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible, and the collision is elastic. The masses of the ball and block are, respectively, 1.7 kg and 2.5 kg, and the length of the wire is 1.36 m. Find the velocity (magnitude and direction) of the ball just after the collision.
A block having a mass of 1.0 kg is given an initial velocity v= 6 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k =100 N/m . Assuming the surface to be frictionless, e the maximum compression of the spring after the collision m 6 m 5 m None
In the figure, block 2 (mass 1.10 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 216 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.80 kg), traveling at speed v1 = 5.90 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed?
A 1.2 kg glider moving at 3.0 m/s [right] undergoes an elastic head-on collision with a glider of equal mass moving at 3.0 m/s [left]. The collision is cushioned by a spring whose spring constant, k, is 6.0 x 104 N/m. Determine the compression in the spring when the second glider is moving left at 1.6 m/s.
In the figure, block 2 (mass 1.90 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 138 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.80 kg), traveling at speed v₁ = 4.80 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? 200000 Number i Units
A bullet with a mass mb=11.9 g is fired into a block of wood at velocity vb=245 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mw of the wooden block.
A block A, of mass m = 10 Kg, compresses a spring of constant K = 1000 N / m in a length x = 3 cm. Starting from rest, the block is released, which moves from that moment on a horizontal surface without friction until it collides with another block B of mass m = 40 Kg, which was at rest. (Perfectly inelastic shock) and together they go up the channel (inclined surface) without friction, to later continue along a second horizontal plane without friction, at a height h with respect to the first (see Figure). Determine the energy variation that occurs in the collision .
A bullet with a mass m, = 12.7 g is fired into a block of wood at velocity v, 253 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mw of the wooden block. mw = kg
The particle hanging in the pendulum, of length 0.7 meters, has a mass of 4.1 kg and it is going to swing down to strike a block D with mass 3.1 kg to make it move on the ground. Block D is not moving before the collision. The coefficient of restitution is 0.7 between the two colliding objects. The coefficient of friction between D and the ground is 0.32. The pendulum is released from rest at position A. Determine the velocity in m/s of the block D after sliding on the ground a distances 1.3 meters. B Also answer the following questions: 1. Draw the complete and clear FBD of the ball on the pendulum at a position between A and B. Indicate two sides of the FBD with all forces and mass x accelerations, label all of them. 2. Find the velocity of the ball just before the impact at position B. 3. Complete the LIM diagrams as studied in the lectures and find the velocities of the objects right after the collision. Is the ball bouncing back or continuing the motion after the collision?